fullseye

polarization_separate — SPECULAR polarization op

使い方

Split a polariser sweep into its unpolarised and linearly polarised radiance. → (diffuse, specular), both (H, W).

Fitting I(t) = 0.5 (S0 + S1 cos 2t + S2 sin 2t) per pixel gives I_min and I_max in closed form, and the classical separation (Wolff & Boult 1991; Nayar, Fang & Boult 1997) reads

``diffuse  = 2 * I_min``   (the unpolarised radiance)
``specular = I_max - I_min`` (the linearly polarised radiance)

with diffuse + specular = I_min + I_max = the total scene radiance, so nothing is lost or invented. Round-tripping :func:polarization_render through this operator returns the inputs with a maximum absolute error of 3.9e-16 for the four angles of a division-of-focal-plane sensor and 4.4e-16 for a bare three-angle sweep (measured in tests/test_specularity.py).

Read the names as shorthand. What is recovered exactly is the unpolarised and polarised parts. Calling them diffuse and specular assumes diffuse reflection is unpolarised and specular reflection is fully linearly polarised — true near Brewster’s angle for a dielectric, false at normal incidence, where the specular reflection is unpolarised and this operator returns all of it as “diffuse”, and unreliable for metals. The polarisation route is complementary to the colour route (:func:specular_diffuse_split), not a replacement: it needs no illuminant colour and works on textured, multi-material surfaces, but it needs a favourable geometry.

max_violation_frac is the fraction of pixels allowed to fit a negative minimum radiance before the call fails. The default 0 is fail-closed: a negative fitted minimum means the modulation exceeded the mean, which no analyser can produce, and it usually means the frames and angles_deg are out of order. Raise it to clamp sensor-noise-level violations to zero as a deliberate, recorded choice.

Raises ValueError: images is not an (N, H, W) stack of at least 3 frames, or exceeds :data:MAX_LIGHTS / :data:MAX_STACK_ELEMENTS; angles_deg does not match the frame count or leaves the fit rank-deficient (two angles equal modulo 180); more than max_violation_frac of the pixels fit a negative minimum.

詳しい使い方ガイド

参考(サンプルデータ・文献)

実行できる例(この op を実際に呼ぶ検証済みサンプル)

型が繋がる次の op(image2d を入力に取れる)

polarization_render

同カテゴリ(polarization)

polarization_render · polarization_dolp_map · polarization_stokes


Provenance: specularity.py — SPECULAR operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.